GCD of 801, 219, 27, 150 Calculator

Given Input numbers are 801, 219, 27, 150

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 801, 219, 27, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 219, 27, 150 is 3.

Therefore, GCD of numbers 801, 219, 27, 150 is 3

Given Input Data is 801, 219, 27, 150

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 219 is 3 x 73

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 150 is 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(801, 219) = 58473

GCD(801, 219) = ( 801 x 219 ) / 58473

GCD(801, 219) = 175419 / 58473

GCD(801, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 150

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

GCD(3, 150) = 450 / 150

GCD(3, 150) = 3

GCD of 801, 219, 27, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 499, 52, 602
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• GCD of 727, 812, 68, 359
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• GCD of 822, 728, 32, 956

1. What is the GCD of 801, 219, 27, 150?

GCD of 801, 219, 27, 150 is 3

2. Where do I get the detailed procedure to find GCD of 801, 219, 27, 150?

You can find a detailed procedure to find GCD of 801, 219, 27, 150 on our page.

3. How to find GCD of 801, 219, 27, 150 on a calculator?

You can find the GCD of 801, 219, 27, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.